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Finding the Third Proportional to 1,560.96 and 3,344.01

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Solution

The third proportional to 1,560.96 and 3,344.01 is: 7,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.96 : 3,344.01 = 3,344.01 : x
  2. Step 2: Convert to fraction form
    1,560.96/3,344.01 = 3,344.01/x
  3. Step 3: Cross multiply
    1,560.96x = 3,344.01 × 3,344.01
  4. Step 4: Simplify right side
    1,560.96x = 11,182,401.31
  5. Step 5: Solve for x
    x = 11,182,401.31/1,560.96
  6. Step 6: Final answer
    x = 7,163.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.